ΔE 23.2, loose: different enough that you should pick on purpose. Ancient Copper is a little lighter, much more saturated, warmer than New Gold.
Not as a straight swap; see the closer alternatives below. Loose match (ΔE 23). Ancient Copper is a little lighter, much more saturated, warmer than New Gold.
The same difference applies the other way round: New Gold is a little darker, much more muted, cooler.
ΔE is the colour difference between our two swatch estimates: under about 6 is close, over about 15 is loose. Real paints also differ in finish, coverage and how they thin, so test before you commit.
See New Gold on the colour wheel See Ancient Copper on the colour wheel
All matches: New Gold equivalents · Ancient Copper equivalents